131311122101 has 16 divisors (see below), whose sum is σ = 141625428480. Its totient is φ = 121291530240.

The previous prime is 131311122097. The next prime is 131311122109. The reversal of 131311122101 is 101221113131.

It is a cyclic number.

It is not a de Polignac number, because 131311122101 - 2² = 131311122097 is a prime.

It is a super-2 number, since 2×131311122101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131311122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500981 + ... + 716661.

It is an arithmetic number, because the mean of its divisors is an integer number (8851589280).

Almost surely, 2^131311122101 is an apocalyptic number.

It is an amenable number.

131311122101 is a deficient number, since it is larger than the sum of its proper divisors (10314306379).

131311122101 is a wasteful number, since it uses less digits than its factorization.

131311122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216364.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131311122101 its reverse (101221113131), we get a palindrome (232532235232).

The spelling of 131311122101 in words is "one hundred thirty-one billion, three hundred eleven million, one hundred twenty-two thousand, one hundred one".